Least Common Multiple of 680, 312, 960

Q: How to Find the LCM of 680, 312, 960 ?

Least Common Multiple of 680, 312, 960 = 212160 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(680, 312, 960) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 13 x 17 = 212160.

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 680, 312, 960 i.e. 212160 smallest integer divisible by all numbers.

Least common multiple (LCM) of 680, 312, 960 is 212160.

LCM(680, 312, 960) = 212160

LCM of 680, 312, 960

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

Least Common Multiple of 680, 312, 960 by common division method
Least Common Multiple of 680, 312, 960 with GCF Formula

Least Common Multiple of 680,312,960

Least Common Multiple (LCM) of 680,312,960 is 212160

2	680, 312, 960
2	340, 156, 480
2	170, 78, 240
3	85, 39, 120
5	85, 13, 40
	17, 13, 8

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 17 x 13 x 8 = 212160

Least Common Multiple of 680,312,960 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 680,312,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,312,960) = 8

common factors(in case of two or more numbers have common factors) = 120

GCF(680,312,960) x common factors =8 x 120 = 960

LCM(680,312,960) = ( 680 × 312 × 960 ) / 960

LCM(680,312,960) = 203673600 / 960

LCM(680,312,960) = 212160

∴ Least Common Multiple of 680,312,960 is 212160

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 680, 312, 960

1. What is the LCM of 680, 312, 960?

Answer: LCM of 680, 312, 960 is 212160.

2. What are the Factors of 212160?

Answer: Factors of 212160 are . There are integers that are factors of 212160

3. How to Find the LCM of 680, 312, 960 ?

Least Common Multiple of 680, 312, 960.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(680, 312, 960) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 13 x 17 = 212160.